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Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of $\mathrm{Hilb}_{d}(\mathbf{P}^{2})$
We recall the table in Fig. 1 for the ranks of Ak(Hilbd(P2)).Ellingsrud and Stromme [5] propose the following conjecture.Let p: I --, Hilbd(P2) be the universal family, let q: I ---, p2 be the natural projection, let .be a line bundle on p2 then E(.):= p,q*.' is a vector bundle …